Our work is inspired by the correlation commitment studied in [1]}, [2]}. The signaling device in our model can also be viewed as a correlation device, which coordinates players' actions in the desired way (desired by the leader). Since the correlation device is designed by the leader, it never hurts the leader (by sending uninformative signals), instead, it can increase the leader's payoff, as shown in the example. However, similar to other early works on Stackelberg games [3]}, [4]}, [5]}, the research works mentioned above focus on the algorithmic aspect, where the computation of the equilibrium is of main interest. Therefore, in the works mentioned above, the follower is assumed to be truthfully behaving all the time. In contrast, in our model, the follower is a rational player, whose strategic behaviors are taken into account.
